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alex41 [277]
3 years ago
5

Consider a physical pendulum with length of 99.5 cm and mass of 185 g. If the pendulum was released from an angle less than 10°,

then calculate the angular speed of the pendulum. (g = 9.80 m/s^2)
Physics
1 answer:
klio [65]3 years ago
4 0

Answer:

The angular speed of the pendulum is 3.138 rad/s.

Explanation:

Given that,

Length = 99.5 cm

Mass = 185 g

We need to calculate the angular speed

Using formula of angular speed

\omega=\sqrt{\dfrac{g}{l}}

Where, l = length

g = acceleration due to gravity

Put the value into the formula

\omega=\sqrt{\dfrac{9.80}{99.5\times10^{-2}}}

\omega=3.138\ rad/s

Hence, The angular speed of the pendulum is 3.138 rad/s.

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A watermelon is dropped off of a 50 ft bridge, and it explodes upon impact with the ground. How fast was it traveling in mph upo
Drupady [299]

Answer: 56.72 ft/s

Explanation:

Ok, initially we only have potential energy, that is equal to:

U =m*g*h

where g is the gravitational acceleration, m the mass and h the height.

h = 50ft and g = 32.17 ft/s^2

when the watermelon is near the ground, all the potential energy is transformed into kinetic energy, and the kinetic energy can be written as:

K = (1/2)*m*v^2

where v is the velocity.

Then we have:

K = U

m*g*h = (m/2)*v^2

we solve it for v.

v = √(2g*h) = √(2*32.17*50) ft/s = 56.72 ft/s

6 0
3 years ago
A 40-cmcm-long tube has a 40-cmcm-long insert that can be pulled in and out. A vibrating tuning fork is held next to the tube. A
Licemer1 [7]

Answer:

1070 Hz

Explanation:

First, I should point out there might be a typo in the question or the question has inconsistent values. If the tube is 40 cm long, standing waves cannot be produced at 42.5 cm and 58.5 cm lengths. I assume the length is more than the value in the question then. Under this assumption, we proceed as below:

The insert in the tube creates a closed pipe with one end open and the other closed. For a closed pipe, the difference between successive resonances is a half wavelength \frac{\lambda}{2}.

Hence, we have

\dfrac{\lambda}{2}=58.5-42.5=16 \text{ cm}

\lambda=32\text{ cm}=0.32 \text{ m}.

The speed of a wave is the product of its wavelength and its frequency.

v=f\lambda

f=\dfrac{v}{\lambda}

f=\dfrac{343}{0.32}=1070 \text{ Hz}

7 0
4 years ago
For a constant voltage, how is the resistance related to the current?
natulia [17]

Answer:

A

Explanation:

R=V/I

IF you double the resistance, it's become:

2R=(1/2)I

8 0
4 years ago
1. A bicyclist travels for 1.5 hours at an average speed of 23 km/h. How far does the bicyclist travel
allsm [11]

Explanation:

23 km/hr x 1.5 hrs = 34.5 km

34.5 km = 34500 meters

8 0
3 years ago
Read 2 more answers
Explain how itis possible for electron-group geometry to difer trom molecular geometry. Use the Lewis dot diagram below to help
Viktor [21]

Answer:

If lone pairs of electrons, electrons not bonded to other atoms, are located in the molecule, this will change the molecular geometry, not the electron geometry. If all the electron groups are bonded, with no lone pairs, then the electron geometry and molecular geometry are the same.

5 0
3 years ago
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